Brian Cullis

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Collaborations and Acknowledgements • This presentation is joint work with Alison Smith (UOW) and David Butler (Crop and Food Science, Agri-Science Queensland DEEDI) • Thanks to Colleen Hunt for the motivation to work on sorghum(!) • Thanks to Yusuf Genc and David Jordan for use if their data-sets • Grains Research and Development Corporation for financial support. VSN Applied Statistics Conference 2011 Modelling variance structures of multi-term effects
Linear mixed model The model Let y (n×1) be vector of observations. The general linear mixed model can be written as y = Xτ +Zu+e • τ (p×1) vector of fixed effects with design matrix X (assumed full rank) • u (b×1) vector of random effects with design matrix Z • e (n×1) vector of residuals. VSN Applied Statistics Conference 2011 Modelling variance structures of multi-term effects
Page 1: Modelling variance structures of mu
Page 5 and 6: R-structures General Framework •
Page 7 and 8: Separability Direct products in R-s
Page 9 and 10: Separability Direct products in G-s
Page 11 and 12: Syntax for multi-term variance mode
Page 13 and 14: Multi-site toy example Recall: mult
Page 15 and 16: Salinity tolerance in bread wheat A
Page 17 and 18: Salinity tolerance in bread wheat P
Page 19 and 20: Salinity tolerance in bread wheat M
Page 21 and 22: Salinity tolerance in bread wheat M
Page 23 and 24: Competition modelling in sorghum pl
Page 37 and 38: Partial compositing example from Sm

Brian Cullis

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